Representation Theory

Authors and titles for recent submissions

• Thu, 25 Sep 2025
• Wed, 24 Sep 2025
• Tue, 23 Sep 2025
• Mon, 22 Sep 2025
• Fri, 19 Sep 2025

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Thu, 25 Sep 2025 (showing 6 of 6 entries )

[1] arXiv:2509.20169 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: The universal Harish-Chandra $j$-function Show Chinese title

Title: 通用哈里什-钱德拉$j$-函数

Gil Moss, Justin Trias

Comments: 27 pages

Subjects: Representation Theory (math.RT)

[2] arXiv:2509.20159 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Center of Kostant algebra Show Chinese title

Title: 科斯当代数的中心

Tamás Hausel

Comments: 21 pages, 5 figures, to appear in "G\'eom\'etrie Alg\'ebrique et Programme de Langlands un volume en l'honneur de G\'erard Laumon"

Subjects: Representation Theory (math.RT)

[3] arXiv:2509.20053 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Infinite-Dimensional Towers and a Categorification of Differential Operators on $\mathbb{A}^1_{\mathbb{Z}[v,v^{- 1}]}$ Show Chinese title

Title: 无限维塔和微分算子在$\mathbb{A}^1_{\mathbb{Z}[v,v^{- 1}]}$上的范畴化

Chun-Ju Lai, Cailan Li

Subjects: Representation Theory (math.RT)

[4] arXiv:2509.19782 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: $H$-based Quivers with potentials and their representations Show Chinese title

Title: 基于$H$的带有势的箭形图及其表示

Xiaoyue Lin

Subjects: Representation Theory (math.RT)

[5] arXiv:2509.19649 (cross-list from math.CO) [cn-pdf, pdf, html, other]

Title: Majorization via positivity of Jack and Macdonald polynomial differences Show Chinese title

Title: 通过杰克和麦克唐纳多项式差的正性进行控制

Hong Chen, Apoorva Khare, Siddhartha Sahi

Comments: 32 pages

Subjects: Combinatorics (math.CO) ; Representation Theory (math.RT)

[6] arXiv:2509.19479 (cross-list from math.GR) [cn-pdf, pdf, html, other]

Title: PySymmetry: A Sage/Python Framework for the Symmetry Reduction of Linear G-Equivariant Systems Show Chinese title

Title: PySymmetry：用于线性G-等变系统的对称约简的Sage/Python框架

Leon D. da Silva, Marcelo P. Santos

Subjects: Group Theory (math.GR) ; Symbolic Computation (cs.SC) ; Mathematical Physics (math-ph) ; Numerical Analysis (math.NA) ; Representation Theory (math.RT)

Wed, 24 Sep 2025 (showing 10 of 10 entries )

[7] arXiv:2509.18969 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Rational K3 Homotopy and the Largest Mathieu Group Show Chinese title

Title: 有理K3同伦和最大的Mathieu群

Federico Carta, John F. R. Duncan, Yang-Hui He

Comments: 32 pages

Subjects: Representation Theory (math.RT) ; High Energy Physics - Theory (hep-th) ; Algebraic Geometry (math.AG)

[8] arXiv:2509.18598 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Schur--Weyl Equivalences for Wreath Product Superalgebras Show Chinese title

Title: 舒尔-韦尔对等性对于乘积超代数

Lauren Grimley, Jonathan R. Kujawa

Comments: 17 pages

Subjects: Representation Theory (math.RT)

[9] arXiv:2509.18442 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: An alternative construction of character sheaves on parahoric subgroups Show Chinese title

Title: 拟素子群上特征层的另一种构造

Alexander B. Ivanov, Sian Nie, Zhihang Yu

Subjects: Representation Theory (math.RT) ; Algebraic Geometry (math.AG)

[10] arXiv:2509.18320 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: The FPP Conjecture for p-adic Groups Show Chinese title

Title: p-进群的FPP猜想

Dihua Jiang, Baiying Liu, Chi-Heng Lo, Lucas Mason-Brown

Subjects: Representation Theory (math.RT)

[11] arXiv:2509.18290 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Functor categories, Recollements, Triangular Matrix category Show Chinese title

Title: 函子范畴，重构，三角矩阵范畴

M. L. S. Sandoval-Miranda, V. Santiago-Vargas, E. O. Velasco-Páez

Comments: File with 32 pages

Subjects: Representation Theory (math.RT) ; Category Theory (math.CT) ; Rings and Algebras (math.RA)

[12] arXiv:2509.18280 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: An Integral Springer Correspondence Show Chinese title

Title: 一个积分 Springer 对应

Thiago Landim

Comments: 24 pages, comments are welcome!

Subjects: Representation Theory (math.RT) ; K-Theory and Homology (math.KT)

[13] arXiv:2509.18982 (cross-list from math.QA) [cn-pdf, pdf, html, other]

Title: Quantum Howe duality and Schur duality of type AIII Show Chinese title

Title: 量子Howe对偶和AIII型的Schur对偶

Weinan Zhang

Comments: 32 pages

Subjects: Quantum Algebra (math.QA) ; Representation Theory (math.RT)

[14] arXiv:2509.18950 (cross-list from math.GT) [cn-pdf, pdf, html, other]

Title: Center of stated $\mathrm{SL}(n)$-skein algebras: even roots of unity Show Chinese title

Title: 陈述的$\mathrm{SL}(n)$-skein 代数的中心：单位根的偶次根

Hiroaki Karuo, Zhihao Wang

Comments: 75 pages, 14 figures

Subjects: Geometric Topology (math.GT) ; Quantum Algebra (math.QA) ; Representation Theory (math.RT)

[15] arXiv:2509.18921 (cross-list from math.NT) [cn-pdf, pdf, html, other]

Title: On Deligne's conjecture for Hecke characters Show Chinese title

Title: 关于Hecke字符的Deligne猜想

Yubo Jin, Dongwen Liu, Binyong Sun

Subjects: Number Theory (math.NT) ; Representation Theory (math.RT)

[16] arXiv:2509.18298 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Graph enumeration for moduli spaces of curves and maps Show Chinese title

Title: 曲线和映射的模空间图枚举

Siddarth Kannan, Terry Dekun Song

Subjects: Algebraic Geometry (math.AG) ; Combinatorics (math.CO) ; Representation Theory (math.RT)

Tue, 23 Sep 2025 (showing 19 of 19 entries )

[17] arXiv:2509.17922 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Construction of $d$-abelian categories via derived categories Show Chinese title

Title: 通过导出范畴构造$d$-阿贝尔范畴

Peter Jorgensen, Emre Sen

Comments: 33 pages

Subjects: Representation Theory (math.RT)

[18] arXiv:2509.17887 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Coxeter-Dynkin algebras of canonical type Show Chinese title

Title: 典型类型的Coxeter-Dynkin代数

Daniel Perniok

Subjects: Representation Theory (math.RT)

[19] arXiv:2509.17781 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Functor-induced isomorphisms and $G$-matrices Show Chinese title

Title: 函子诱导的同构和$G$-矩阵

Shengfei Geng

Comments: 26 pages

Subjects: Representation Theory (math.RT)

[20] arXiv:2509.17604 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Equivariant $H\underline{\mathbb{F}}_p$-modules are wild Show Chinese title

Title: 同变$H\underline{\mathbb{F}}_p$-模是难以控制的

Jacob Fjeld Grevstad, Clover May

Comments: 55 pages, 1 figure, 2 tables

Subjects: Representation Theory (math.RT) ; Algebraic Topology (math.AT)

[21] arXiv:2509.17312 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Lattice Models for Double Whittaker Polynomials and Motivic Chern Classes Show Chinese title

Title: 格模型用于双重魏特金多项式和动机 Chern 类

Ben Brubaker, Daniel Bump, Andrew Hardt, Hunter Spink

Subjects: Representation Theory (math.RT) ; Algebraic Geometry (math.AG) ; Combinatorics (math.CO)

[22] arXiv:2509.17007 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Translation functors, branching problems, and applications to the restriction of coherent cohomology of Shimura varieties Show Chinese title

Title: 翻译函子、分支问题以及对 Shimura 流形一致上同调限制的应用

Michael Harris, Toshiyuki Kobayashi, Birgit Speh

Comments: 100 pages, first of a series

Subjects: Representation Theory (math.RT) ; Number Theory (math.NT)

[23] arXiv:2509.17001 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Envelope of Holomorphy of Matsuki Orbits in Complex Grassmannians Show Chinese title

Title: 全纯包络在复数格拉斯曼流形中的Matsuki轨道

Irfan Ullah

Comments: 12 pages. Research article submitted to the journal Transformation Groups

Subjects: Representation Theory (math.RT) ; Algebraic Geometry (math.AG) ; Complex Variables (math.CV) ; Differential Geometry (math.DG)

[24] arXiv:2509.16764 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Frieze patterns in representation theory Show Chinese title

Title: 表示论中的 frieze 模式

Eleonore Faber

Comments: 34 pages

Subjects: Representation Theory (math.RT) ; Combinatorics (math.CO)

[25] arXiv:2509.16388 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: The Hom-Ext quiver and applications to exceptional collections Show Chinese title

Title: 同态-Ext 旗图及其在例外族中的应用

Kiyoshi Igusa, Ray Maresca

Comments: 35 pages, 2 figures, and several diagrams

Subjects: Representation Theory (math.RT) ; Combinatorics (math.CO)

[26] arXiv:2509.16230 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Modules over the category of Jacobi diagrams in handlebodies Show Chinese title

Title: 流形中雅可比图的范畴上的模

Mai Katada

Comments: 39 pages

Subjects: Representation Theory (math.RT) ; Algebraic Topology (math.AT) ; Geometric Topology (math.GT) ; Quantum Algebra (math.QA)

[27] arXiv:2509.18062 (cross-list from math.NT) [cn-pdf, pdf, other]

Title: Introduction to the relative Langlands program Show Chinese title

Title: 相对朗兰兹纲领简介

Raphaël Beuzart-Plessis

Comments: To appear in Proceedings of Symposia in Pure Mathematics

Subjects: Number Theory (math.NT) ; Representation Theory (math.RT)

[28] arXiv:2509.17935 (cross-list from math.SP) [cn-pdf, pdf, other]

Title: A converse theorem for hyperbolic surface spectra and the conformal bootstrap Show Chinese title

Title: 双曲面谱的逆定理和共形bootstrap

Anshul Adve

Comments: 109 pages, 1 figure. Comments welcome!

Subjects: Spectral Theory (math.SP) ; Number Theory (math.NT) ; Representation Theory (math.RT)

[29] arXiv:2509.17573 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Unit Uniquely Clean Rings Show Chinese title

Title: 单位唯一干净环

Mina Doostalizadeh, Ahmad Moussavi, Peter Danchev

Comments: 15 pages

Subjects: Rings and Algebras (math.RA) ; Representation Theory (math.RT)

[30] arXiv:2509.17327 (cross-list from math.QA) [cn-pdf, pdf, html, other]

Title: Higher-order Casimir elements and hook partitions for quantum groups of types B, C and D Show Chinese title

Title: 高阶Casimir元和钩形分拆对于B、C和D型量子群

Yanmin Dai, Yang Zhang

Comments: 25 pages. Comments welcome

Subjects: Quantum Algebra (math.QA) ; Representation Theory (math.RT)

[31] arXiv:2509.17271 (cross-list from math.GR) [cn-pdf, pdf, html, other]

Title: Stable Invariants of Words from Random Matrices II: Formulas and Extensions Show Chinese title

Title: 从随机矩阵中得到的词的稳定不变量 II：公式和扩展

Doron Puder, Yotam Shomroni

Comments: 35 pages. Some of the content is taken from the previous (first) version of arXiv:2311.17733, while other parts are brand new

Subjects: Group Theory (math.GR) ; Combinatorics (math.CO) ; Representation Theory (math.RT)

[32] arXiv:2509.16881 (cross-list from math.NT) [cn-pdf, pdf, html, other]

Title: Survey on bounding Selmer groups for Rankin--Selberg motives Show Chinese title

Title: 关于Rankin--Selberg动机的挠群的综述

Yifeng Liu, Yichao Tian, Liang Xiao, Wei Zhang, Xinwen Zhu

Comments: 35 pages, to appear in Simons Symposia

Subjects: Number Theory (math.NT) ; Algebraic Geometry (math.AG) ; Representation Theory (math.RT)

[33] arXiv:2509.16626 (cross-list from math.CT) [cn-pdf, pdf, other]

Title: Invertible projective 2-representations from invertible 2d TQFTs with defects Show Chinese title

Title: 可逆的投影2表示来自带有缺陷的可逆二维拓扑量子场论

Domenico Fiorenza, Chetan Vuppulury

Comments: 30 pages

Subjects: Category Theory (math.CT) ; Mathematical Physics (math-ph) ; Quantum Algebra (math.QA) ; Representation Theory (math.RT)

[34] arXiv:2509.16433 (cross-list from math.CO) [cn-pdf, pdf, html, other]

Title: Flip Combinatorial Invariance and Weyl groups Show Chinese title

Title: 翻转组合不变性和Weyl群

Francesco Esposito, Mario Marietti, Salvatore Stella

Subjects: Combinatorics (math.CO) ; Representation Theory (math.RT)

[35] arXiv:2509.16356 (cross-list from math.NT) [cn-pdf, pdf, html, other]

Title: Central values of Asai L-functions and twisted Gan--Gross--Prasad conjecture: relative trace formulas Show Chinese title

Title: 中心值的Asai L函数和扭曲的Gan--Gross--Prasad猜想：相对迹公式

Weixiao Lu, Danielle Wang, Zhiyu Zhang

Subjects: Number Theory (math.NT) ; Representation Theory (math.RT)

Mon, 22 Sep 2025 (showing 4 of 4 entries )

[36] arXiv:2509.16174 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Almost Commutative Terwilliger Algebras II: Strong Gelfand Pairs Show Chinese title

Title: 几乎交换Terwilliger代数II：强Gelfand对

Nicholas L. Bastian, Stephen P. Humphries

Comments: This paper has been submitted to the Journal of Algebraic Combinatorics

Subjects: Representation Theory (math.RT) ; Combinatorics (math.CO) ; Rings and Algebras (math.RA)

[37] arXiv:2509.16147 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Almost Commutative Terwilliger Algebras I: The Group Association Scheme Show Chinese title

Title: 几乎交换的特维勒代数 I：群关联方案

Nicholas L. Bastian, Stephen P. Humphries

Comments: This paper has been submitted to the Journal of Algebraic Combinatorics. arXiv admin note: text overlap with arXiv:2409.09167

Subjects: Representation Theory (math.RT) ; Combinatorics (math.CO)

[38] arXiv:2509.15825 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: On a Dichotomy for Skyscraper Sheaves under the Bridgeland-King-Reid Equivalence Show Chinese title

Title: 关于布里奇兰德-金-瑞德等价下摩天楼层层的二分法

Boris Tsvelikhovskiy

Comments: arXiv admin note: substantial text overlap with arXiv:2201.07847

Subjects: Algebraic Geometry (math.AG) ; Representation Theory (math.RT)

[39] arXiv:2509.15351 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Diameter bounds for finite simple Lie algebras Show Chinese title

Title: 有限单李代数的直径界限

Marco Barbieri, Urban Jezernik, Matevž Miščič

Comments: 19 pages

Subjects: Rings and Algebras (math.RA) ; Combinatorics (math.CO) ; Group Theory (math.GR) ; Representation Theory (math.RT)

Fri, 19 Sep 2025 (showing 6 of 6 entries )

[40] arXiv:2509.14682 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Functorial equivalence classes of $2$-blocks of tame representation type Show Chinese title

Title: 函子等价类的$2$-块的有限表示类型

Robert Boltje, Serge Bouc, Deniz Yılmaz

Comments: 19 pages

Subjects: Representation Theory (math.RT)

[41] arXiv:2509.14552 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Monoidal categorification and quantum affine algebras III Show Chinese title

Title: 单子范畴化和量子仿射代数 III

Masaki Kashiwara, Myungho Kim, Se-jin Oh, Euiyong Park

Subjects: Representation Theory (math.RT) ; Quantum Algebra (math.QA)

[42] arXiv:2509.14823 (cross-list from math.QA) [cn-pdf, pdf, html, other]

Title: Integrals for Bialgebras Show Chinese title

Title: 双代数的积分

Alessandro Ardizzoni, Claudia Menini, Paolo Saracco

Subjects: Quantum Algebra (math.QA) ; Category Theory (math.CT) ; Rings and Algebras (math.RA) ; Representation Theory (math.RT)

[43] arXiv:2509.14620 (cross-list from math.KT) [cn-pdf, pdf, other]

Title: Lax functoriality of Hochschild cochain complex Show Chinese title

Title: Hochschild上链复形的Lax函子性

Yang Han, Xukun Wang

Comments: 83 pages

Subjects: K-Theory and Homology (math.KT) ; Rings and Algebras (math.RA) ; Representation Theory (math.RT)

[44] arXiv:2509.14381 (cross-list from math.NT) [cn-pdf, pdf, other]

Title: Triple product $L$-functions and the Ramanujan conjecture Show Chinese title

Title: 三重乘积$L$函数和Ramanujan猜想

Jayce R. Getz, Heekyoung Hahn, HaoYun Yao

Comments: welcome!

Subjects: Number Theory (math.NT) ; Representation Theory (math.RT)

[45] arXiv:2509.14350 (cross-list from hep-th) [cn-pdf, pdf, other]

Title: Some remarks on invariants Show Chinese title

Title: 一些关于不变量的备注

Martin Cederwall, Jessica Hutomo, Sergei M. Kuzenko, Kurt Lechner, Dmitri P. Sorokin

Comments: 61 pages (including 5 appendixes)

Subjects: High Energy Physics - Theory (hep-th) ; Mathematical Physics (math-ph) ; Rings and Algebras (math.RA) ; Representation Theory (math.RT)